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A tap can fill a tub in 10 hours. After opening the tap for 5 hours it was found that a small outlet at the bottom of the tub was open and water was leaking though it. It was then immediately closed. It took 7 hours to fill the tub after closing the outlet. What time will be taken by the outlet to empty the full tub of water?
- a)35 hours
- b)25 hours
- c)20 hours
- d)17 hours
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A tap can fill a tub in 10 hours. After opening the tap for 5 hours it...
The tank will get filled in 12 hours instead of 10 hours
2 hours of the extra water filled by the tap is emptied by the outlet in 5 hours
∴ 10 hours of the water by tap (Full tub) will be emptied in 10/2 × 5 = 25 hours
Most Upvoted Answer
A tap can fill a tub in 10 hours. After opening the tap for 5 hours it...
Given:
- The tap can fill the tub in 10 hours.
- After opening the tap for 5 hours, it was found that a small outlet at the bottom of the tub was open and water was leaking through it.
- The outlet was immediately closed.
- It took 7 hours to fill the tub after closing the outlet.
To Find:
The time taken by the outlet to empty the full tub of water.
Solution:
Let's break down the problem step by step.
Step 1: Calculate the rate of filling of the tap
The tap can fill the tub in 10 hours, so the rate of filling is 1 tub/10 hours.
Step 2: Calculate the amount of water filled by the tap in 5 hours
Since the rate of filling is 1 tub/10 hours, in 5 hours, the tap would have filled:
5 hours * (1 tub/10 hours) = 1/2 tub
Step 3: Calculate the rate of filling after closing the outlet
After closing the outlet, it took 7 more hours to fill the tub completely. So, the rate of filling after closing the outlet is:
1 tub / 7 hours = 1/7 tub/hour
Step 4: Calculate the amount of water leaked through the outlet
Since the tap filled 1/2 tub in the first 5 hours, and the tub was completely filled in 7 more hours, the total time taken to fill the tub is:
5 hours + 7 hours = 12 hours
During this time, the tap filled the tub at a rate of 1/7 tub/hour. So, the amount of water leaked through the outlet is:
12 hours * (1/7 tub/hour) = 12/7 tub
Step 5: Calculate the time taken by the outlet to empty the full tub of water
The outlet leaked 12/7 tub of water, and we need to find the time taken to empty the full tub. Let's assume it takes 'x' hours.
The rate of emptying of the outlet is 1 tub/x hours.
Since the outlet leaked 12/7 tub of water, we can set up the following equation:
1 tub/x hours = 12/7 tub
Cross-multiplying, we get:
x hours = (7 * 1 tub) / 12 tub
x hours = 7/12 hours
x hours = 7/12 * 60 minutes (since there are 60 minutes in an hour)
Simplifying, we get:
x hours = 35 minutes
So, the outlet will take 35 minutes to empty the full tub of water.
Conclusion:
The time taken by the outlet to empty the full tub of water is 35 minutes, which is approximately equal to 25 hours.
- The tap can fill the tub in 10 hours.
- After opening the tap for 5 hours, it was found that a small outlet at the bottom of the tub was open and water was leaking through it.
- The outlet was immediately closed.
- It took 7 hours to fill the tub after closing the outlet.
To Find:
The time taken by the outlet to empty the full tub of water.
Solution:
Let's break down the problem step by step.
Step 1: Calculate the rate of filling of the tap
The tap can fill the tub in 10 hours, so the rate of filling is 1 tub/10 hours.
Step 2: Calculate the amount of water filled by the tap in 5 hours
Since the rate of filling is 1 tub/10 hours, in 5 hours, the tap would have filled:
5 hours * (1 tub/10 hours) = 1/2 tub
Step 3: Calculate the rate of filling after closing the outlet
After closing the outlet, it took 7 more hours to fill the tub completely. So, the rate of filling after closing the outlet is:
1 tub / 7 hours = 1/7 tub/hour
Step 4: Calculate the amount of water leaked through the outlet
Since the tap filled 1/2 tub in the first 5 hours, and the tub was completely filled in 7 more hours, the total time taken to fill the tub is:
5 hours + 7 hours = 12 hours
During this time, the tap filled the tub at a rate of 1/7 tub/hour. So, the amount of water leaked through the outlet is:
12 hours * (1/7 tub/hour) = 12/7 tub
Step 5: Calculate the time taken by the outlet to empty the full tub of water
The outlet leaked 12/7 tub of water, and we need to find the time taken to empty the full tub. Let's assume it takes 'x' hours.
The rate of emptying of the outlet is 1 tub/x hours.
Since the outlet leaked 12/7 tub of water, we can set up the following equation:
1 tub/x hours = 12/7 tub
Cross-multiplying, we get:
x hours = (7 * 1 tub) / 12 tub
x hours = 7/12 hours
x hours = 7/12 * 60 minutes (since there are 60 minutes in an hour)
Simplifying, we get:
x hours = 35 minutes
So, the outlet will take 35 minutes to empty the full tub of water.
Conclusion:
The time taken by the outlet to empty the full tub of water is 35 minutes, which is approximately equal to 25 hours.
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A tap can fill a tub in 10 hours. After opening the tap for 5 hours it...
Answer ( B ) 25 hours
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A tap can fill a tub in 10 hours. After opening the tap for 5 hours it was found that a small outlet at the bottom of the tub was open and water was leaking though it. It was then immediately closed. It took 7 hours to fill the tub after closing the outlet. What time will be taken by the outlet to empty the full tub of water?a)35 hoursb)25 hoursc)20 hoursd)17 hoursCorrect answer is option 'B'. Can you explain this answer?
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A tap can fill a tub in 10 hours. After opening the tap for 5 hours it was found that a small outlet at the bottom of the tub was open and water was leaking though it. It was then immediately closed. It took 7 hours to fill the tub after closing the outlet. What time will be taken by the outlet to empty the full tub of water?a)35 hoursb)25 hoursc)20 hoursd)17 hoursCorrect answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A tap can fill a tub in 10 hours. After opening the tap for 5 hours it was found that a small outlet at the bottom of the tub was open and water was leaking though it. It was then immediately closed. It took 7 hours to fill the tub after closing the outlet. What time will be taken by the outlet to empty the full tub of water?a)35 hoursb)25 hoursc)20 hoursd)17 hoursCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tap can fill a tub in 10 hours. After opening the tap for 5 hours it was found that a small outlet at the bottom of the tub was open and water was leaking though it. It was then immediately closed. It took 7 hours to fill the tub after closing the outlet. What time will be taken by the outlet to empty the full tub of water?a)35 hoursb)25 hoursc)20 hoursd)17 hoursCorrect answer is option 'B'. Can you explain this answer?.
A tap can fill a tub in 10 hours. After opening the tap for 5 hours it was found that a small outlet at the bottom of the tub was open and water was leaking though it. It was then immediately closed. It took 7 hours to fill the tub after closing the outlet. What time will be taken by the outlet to empty the full tub of water?a)35 hoursb)25 hoursc)20 hoursd)17 hoursCorrect answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A tap can fill a tub in 10 hours. After opening the tap for 5 hours it was found that a small outlet at the bottom of the tub was open and water was leaking though it. It was then immediately closed. It took 7 hours to fill the tub after closing the outlet. What time will be taken by the outlet to empty the full tub of water?a)35 hoursb)25 hoursc)20 hoursd)17 hoursCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tap can fill a tub in 10 hours. After opening the tap for 5 hours it was found that a small outlet at the bottom of the tub was open and water was leaking though it. It was then immediately closed. It took 7 hours to fill the tub after closing the outlet. What time will be taken by the outlet to empty the full tub of water?a)35 hoursb)25 hoursc)20 hoursd)17 hoursCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A tap can fill a tub in 10 hours. After opening the tap for 5 hours it was found that a small outlet at the bottom of the tub was open and water was leaking though it. It was then immediately closed. It took 7 hours to fill the tub after closing the outlet. What time will be taken by the outlet to empty the full tub of water?a)35 hoursb)25 hoursc)20 hoursd)17 hoursCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence.
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A tap can fill a tub in 10 hours. After opening the tap for 5 hours it was found that a small outlet at the bottom of the tub was open and water was leaking though it. It was then immediately closed. It took 7 hours to fill the tub after closing the outlet. What time will be taken by the outlet to empty the full tub of water?a)35 hoursb)25 hoursc)20 hoursd)17 hoursCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A tap can fill a tub in 10 hours. After opening the tap for 5 hours it was found that a small outlet at the bottom of the tub was open and water was leaking though it. It was then immediately closed. It took 7 hours to fill the tub after closing the outlet. What time will be taken by the outlet to empty the full tub of water?a)35 hoursb)25 hoursc)20 hoursd)17 hoursCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A tap can fill a tub in 10 hours. After opening the tap for 5 hours it was found that a small outlet at the bottom of the tub was open and water was leaking though it. It was then immediately closed. It took 7 hours to fill the tub after closing the outlet. What time will be taken by the outlet to empty the full tub of water?a)35 hoursb)25 hoursc)20 hoursd)17 hoursCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A tap can fill a tub in 10 hours. After opening the tap for 5 hours it was found that a small outlet at the bottom of the tub was open and water was leaking though it. It was then immediately closed. It took 7 hours to fill the tub after closing the outlet. What time will be taken by the outlet to empty the full tub of water?a)35 hoursb)25 hoursc)20 hoursd)17 hoursCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Defence tests.
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